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ON A LOWER BOUND FOR THE JENSEN INEQUALITY.
- Source :
- SIAM Journal on Mathematical Analysis; 2014, Vol. 46 Issue 5, p3151-3157, 7p
- Publication Year :
- 2014
-
Abstract
- We present an improvement to the Jensen inequality for certain convex functions φ on (0 ∞). This implies finding a nonzero lower bound for the Jensen gap. In particular, just as the Jensen inequality becomes an equality when φ is linear, for the new inequality we obtain an equality also when φ is quadratic. At the heart of the paper is an apparent new technique for improving classical inequalities based on nonlinear functions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 46
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 108605997
- Full Text :
- https://doi.org/10.1137/140954015